An Elementary Proof of the Jordan Curve Theorem and its Application to the Poincaré-Bendixson Theorem
This thesis is mainly focused on a proof of the Jordan Curve Theorem. We follow Tverberg’s paper: A PROOF OF THE JORDAN CURVE THEOREM, but add some more details and graphics in order to make this topological proof more understandable. Later in this thesis, the proof of the Poincare-Bendixson Theorem will also be discussed, as an application of the Jordan Curve Theorem.